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Finding the Fourth Proportional to 24,400.82, 36,596.37 and 11,251.28

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Solution

The fourth proportional to 24,400.82, 36,596.37 and 11,251.28 is: 16,874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,400.82 : 36,596.37 = 11,251.28 : x
  2. Step 2: Convert to fraction form
    24,400.82/36,596.37 = 11,251.28/x
  3. Step 3: Cross multiply
    24,400.82x = 36,596.37 × 11,251.28
  4. Step 4: Simplify right side
    24,400.82x = 411,756,005.85
  5. Step 5: Solve for x
    x = 411,756,005.85/24,400.82
  6. Step 6: Final answer
    x = 16,874.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.